Branching rules for p-adic unitary groups
报告人:Ekta Tiwari (中国科伊人直播
晨兴数学中心)
时间:2026-04-02 14:00-15:00
地点:智华楼412
摘要:A classical problem in representation theory is to understand how an irreducible representation of a group decomposes when restricted to its subgroups. Such questions are commonly referred to as branching problems.
In this talk, we will explore the restriction of irreducible smooth representations of the quasi-split unramified unitary group U(1,1) to its hyperspecial maximal compact subgroup K. We will present explicit branching rules in this setting and discuss several applications that arise from having a concrete description of these restrictions.
Note: This talk assumes familiarity with basic notions in representation theory.